SOLUTION: What is the difference between function and and equation ? What happens when we plot the graph of a function and an equation ? In what way both are different ? what is the same a

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Question 2328: What is the difference between function and and equation ? What happens when we plot the graph of a function and an equation ? In what way both are different ?
what is the same and different about gradient of a line and gradient of a curve ?
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
a function and an equation are hte same thing basically, just that the wording "function" sounds more professional. No doubt a hardened mathematician may say they are NOT the same, but for all intents and purposes they are:
y=x%5E3+%2B+4x is an equation
f(x)=x%5E3+%2B+4x is a function
but they are the same!
Plotting...just the same, just instead of "y", you put "f(x)" on the vertical axis.
Grandient of a line is always the same at every point. The gradient of a curve is different as you move along the curve. Both are defined as (change in y)/(change in x).
Jon